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Finding the Third Proportional to 271,918 and 587,576

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Solution

The third proportional to 271,918 and 587,576 is: 1,269,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918 : 587,576 = 587,576 : x
  2. Step 2: Convert to fraction form
    271,918/587,576 = 587,576/x
  3. Step 3: Cross multiply
    271,918x = 587,576 × 587,576
  4. Step 4: Simplify right side
    271,918x = 345,245,555,776
  5. Step 5: Solve for x
    x = 345,245,555,776/271,918
  6. Step 6: Final answer
    x = 1,269,667.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.